Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
¿cómo vas a descomponer esta expresión en fracciones?:
(z/c+c/z)/(z^2+c^2)/(5*z^9*c)
((z-2)/(4*(z+2)^2))/(z/(2*z-4)-(z^2+4)/(2*z^2-8)-z/(z^2+2*z))
2*(-1+(-1+x)/(2+x))/(2+x)^2
(y+z+y*z/x)*(x+y+x*y/z+x+z+x*z/y)/(2*(x+y+z)+y*z/x+x*y/z+x*z/y)
Factorizar el polinomio:
y^7-2*y^5
y-5*x^2/4-11/2
y^4+y^2
y^k-1-3*y^k
Descomponer al cuadrado:
y^4+9*y^2-3
-y^4-9*y^2+9
-y^4+9*y^2+5
-y^4+9*y^2-1
Expresiones idénticas
tg+cos2a-sin2a/(uno +sina*cosa)*cosa
tg más coseno de 2a menos seno de 2a dividir por (1 más seno de a multiplicar por coseno de a) multiplicar por coseno de a
tg más coseno de 2a menos seno de 2a dividir por (uno más seno de a multiplicar por coseno de a) multiplicar por coseno de a
tg+cos2a-sin2a/(1+sinacosa)cosa
tg+cos2a-sin2a/1+sinacosacosa
tg+cos2a-sin2a dividir por (1+sina*cosa)*cosa
Expresiones semejantes
tg+cos2a+sin2a/(1+sina*cosa)*cosa
tg-cos2a-sin2a/(1+sina*cosa)*cosa
tg+cos2a-sin2a/(1-sina*cosa)*cosa
Expresiones con funciones
tg
tg9actg9a-(sin^26a-1)/(1-cos^2a)
tg9actg9a-(sin^(2)6a-1)/(1-cos^(2)6a)
tg(8a)*ctg(8a)-((cos(6a)^2-1)/(1-(sin(6a))^2))
tg(7/(3)sqrt(n^4+2))
tg(4*x)*ctg(4*x)-(1-sqrt(cos(9*x)))/(sqrt(sin(9*x))-1)

Simplificación de expresiones/ Descomposición en fracciones simples/ tg+cos2a-sin2a/(1+sina*cosa)*cosa

¿Cómo vas a descomponer esta tg+cos2a-sin2a/(1+sinacosa)cosa expresión en fracciones?

Solución

Ha introducido [src]

                         sin(2*a)           
tan(x) + cos(2*a) - -----------------*cos(a)
                    1 + sin(a)*cos(a)

- \frac{\sin{\left(2 a \right)}}{\sin{\left(a \right)} \cos{\left(a \right)} + 1} \cos{\left(a \right)} + \left(\cos{\left(2 a \right)} + \tan{\left(x \right)}\right)

tan(x) + cos(2*a) - sin(2*a)/(1 + sin(a)*cos(a))*cos(a)

Simplificación general [src]

/    sin(2*a)\                                      
|1 + --------|*(cos(2*a) + tan(x)) - cos(a)*sin(2*a)
\       2    /                                      
----------------------------------------------------
                        sin(2*a)                    
                    1 + --------                    
                           2

\frac{\left(\frac{\sin{\left(2 a \right)}}{2} + 1\right) \left(\cos{\left(2 a \right)} + \tan{\left(x \right)}\right) - \sin{\left(2 a \right)} \cos{\left(a \right)}}{\frac{\sin{\left(2 a \right)}}{2} + 1}

((1 + sin(2*a)/2)*(cos(2*a) + tan(x)) - cos(a)*sin(2*a))/(1 + sin(2*a)/2)

Unión de expresiones racionales [src]

(1 + cos(a)*sin(a))*(cos(2*a) + tan(x)) - cos(a)*sin(2*a)
---------------------------------------------------------
                    1 + cos(a)*sin(a)

\frac{\left(\sin{\left(a \right)} \cos{\left(a \right)} + 1\right) \left(\cos{\left(2 a \right)} + \tan{\left(x \right)}\right) - \sin{\left(2 a \right)} \cos{\left(a \right)}}{\sin{\left(a \right)} \cos{\left(a \right)} + 1}

((1 + cos(a)*sin(a))*(cos(2*a) + tan(x)) - cos(a)*sin(2*a))/(1 + cos(a)*sin(a))

Potencias [src]

   cos(a)*sin(2*a)                     
- ----------------- + cos(2*a) + tan(x)
  1 + cos(a)*sin(a)

\cos{\left(2 a \right)} + \tan{\left(x \right)} - \frac{\sin{\left(2 a \right)} \cos{\left(a \right)}}{\sin{\left(a \right)} \cos{\left(a \right)} + 1}

                                            / I*a    -I*a\                       
                                            |e      e    | /   -2*I*a    2*I*a\  
 -2*I*a    2*I*a     /   I*x    -I*x\     I*|---- + -----|*\- e       + e     /  
e         e        I*\- e    + e    /       \ 2       2  /                       
------- + ------ + ------------------ + -----------------------------------------
   2        2          I*x    -I*x        /      / I*a    -I*a\                 \
                      e    + e            |      |e      e    | /   -I*a    I*a\|
                                          |    I*|---- + -----|*\- e     + e   /|
                                          |      \ 2       2  /                 |
                                        2*|1 - ---------------------------------|
                                          \                    2                /

\frac{i \left(- e^{i x} + e^{- i x}\right)}{e^{i x} + e^{- i x}} + \frac{e^{2 i a}}{2} + \frac{e^{- 2 i a}}{2} + \frac{i \left(\frac{e^{i a}}{2} + \frac{e^{- i a}}{2}\right) \left(e^{2 i a} - e^{- 2 i a}\right)}{2 \left(- \frac{i \left(\frac{e^{i a}}{2} + \frac{e^{- i a}}{2}\right) \left(e^{i a} - e^{- i a}\right)}{2} + 1\right)}

exp(-2*i*a)/2 + exp(2*i*a)/2 + i*(-exp(i*x) + exp(-i*x))/(exp(i*x) + exp(-i*x)) + i*(exp(i*a)/2 + exp(-i*a)/2)*(-exp(-2*i*a) + exp(2*i*a))/(2*(1 - i*(exp(i*a)/2 + exp(-i*a)/2)*(-exp(-i*a) + exp(i*a))/2))

Denominador común [src]

   cos(a)*sin(2*a)                     
- ----------------- + cos(2*a) + tan(x)
  1 + cos(a)*sin(a)

\cos{\left(2 a \right)} + \tan{\left(x \right)} - \frac{\sin{\left(2 a \right)} \cos{\left(a \right)}}{\sin{\left(a \right)} \cos{\left(a \right)} + 1}

-cos(a)*sin(2*a)/(1 + cos(a)*sin(a)) + cos(2*a) + tan(x)

Compilar la expresión [src]

   cos(a)*sin(2*a)                     
- ----------------- + cos(2*a) + tan(x)
  1 + cos(a)*sin(a)

\cos{\left(2 a \right)} + \tan{\left(x \right)} - \frac{\sin{\left(2 a \right)} \cos{\left(a \right)}}{\sin{\left(a \right)} \cos{\left(a \right)} + 1}

-cos(a)*sin(2*a)/(1 + cos(a)*sin(a)) + cos(2*a) + tan(x)

Denominador racional [src]

(1 + cos(a)*sin(a))*(cos(2*a) + tan(x)) - cos(a)*sin(2*a)
---------------------------------------------------------
                    1 + cos(a)*sin(a)

\frac{\left(\sin{\left(a \right)} \cos{\left(a \right)} + 1\right) \left(\cos{\left(2 a \right)} + \tan{\left(x \right)}\right) - \sin{\left(2 a \right)} \cos{\left(a \right)}}{\sin{\left(a \right)} \cos{\left(a \right)} + 1}

((1 + cos(a)*sin(a))*(cos(2*a) + tan(x)) - cos(a)*sin(2*a))/(1 + cos(a)*sin(a))

Abrimos la expresión [src]

                       2                   
          2       2*cos (a)*sin(a)         
-1 + 2*cos (a) - ----------------- + tan(x)
                 1 + sin(a)*cos(a)

2 \cos^{2}{\left(a \right)} + \tan{\left(x \right)} - 1 - \frac{2 \sin{\left(a \right)} \cos^{2}{\left(a \right)}}{\sin{\left(a \right)} \cos{\left(a \right)} + 1}

-1 + 2*cos(a)^2 - 2*cos(a)^2*sin(a)/(1 + sin(a)*cos(a)) + tan(x)

Respuesta numérica [src]

-cos(a)*sin(2*a)/(1.0 + cos(a)*sin(a)) + cos(2*a) + tan(x)

-cos(a)*sin(2*a)/(1.0 + cos(a)*sin(a)) + cos(2*a) + tan(x)

Combinatoria [src]

-cos(a)*sin(2*a) + cos(a)*cos(2*a)*sin(a) + cos(a)*sin(a)*tan(x) + cos(2*a) + tan(x)
------------------------------------------------------------------------------------
                                 1 + cos(a)*sin(a)

\frac{\sin{\left(a \right)} \cos{\left(a \right)} \cos{\left(2 a \right)} + \sin{\left(a \right)} \cos{\left(a \right)} \tan{\left(x \right)} - \sin{\left(2 a \right)} \cos{\left(a \right)} + \cos{\left(2 a \right)} + \tan{\left(x \right)}}{\sin{\left(a \right)} \cos{\left(a \right)} + 1}

(-cos(a)*sin(2*a) + cos(a)*cos(2*a)*sin(a) + cos(a)*sin(a)*tan(x) + cos(2*a) + tan(x))/(1 + cos(a)*sin(a))

Parte trigonométrica [src]

                   /pi    \                                                
                csc|-- - x|                                                
      1            \2     /                         1                      
------------- + ----------- - ---------------------------------------------
   /pi      \      csc(x)     /            1         \             /pi    \
csc|-- - 2*a|                 |1 + ------------------|*csc(2*a)*csc|-- - a|
   \2       /                 |              /pi    \|             \2     /
                              |    csc(a)*csc|-- - a||                     
                              \              \2     //

\frac{1}{\csc{\left(- 2 a + \frac{\pi}{2} \right)}} + \frac{\csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}} - \frac{1}{\left(1 + \frac{1}{\csc{\left(a \right)} \csc{\left(- a + \frac{\pi}{2} \right)}}\right) \csc{\left(2 a \right)} \csc{\left(- a + \frac{\pi}{2} \right)}}

  2*cos(a)*sin(2*a)                    
- ----------------- + cos(2*a) + tan(x)
     2 + sin(2*a)

\cos{\left(2 a \right)} + \tan{\left(x \right)} - \frac{2 \sin{\left(2 a \right)} \cos{\left(a \right)}}{\sin{\left(2 a \right)} + 2}

                           2                   
  sin(a) + sin(3*a)   2*sin (x)      /pi      \
- ----------------- + --------- + sin|-- + 2*a|
     2 + sin(2*a)      sin(2*x)      \2       /

- \frac{\sin{\left(a \right)} + \sin{\left(3 a \right)}}{\sin{\left(2 a \right)} + 2} + \frac{2 \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}} + \sin{\left(2 a + \frac{\pi}{2} \right)}

                              1              1      
                         ----------- + -------------
                            /    pi\      /      pi\
                         sec|a - --|   sec|3*a - --|
   1          sec(x)        \    2 /      \      2 /
-------- + ----------- - ---------------------------
sec(2*a)      /    pi\                  1           
           sec|x - --|        2 + -------------     
              \    2 /               /      pi\     
                                  sec|2*a - --|     
                                     \      2 /

\frac{\sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}} + \frac{1}{\sec{\left(2 a \right)}} - \frac{\frac{1}{\sec{\left(3 a - \frac{\pi}{2} \right)}} + \frac{1}{\sec{\left(a - \frac{\pi}{2} \right)}}}{2 + \frac{1}{\sec{\left(2 a - \frac{\pi}{2} \right)}}}

                     /a\           /3*a\          
                2*tan|-|      2*tan|---|          
                     \2/           \ 2 /          
              ----------- + -------------         
                     2/a\          2/3*a\         
       2      1 + tan |-|   1 + tan |---|         
1 - tan (a)           \2/           \ 2 /         
----------- - --------------------------- + tan(x)
       2                  2*tan(a)                
1 + tan (a)         2 + -----------               
                               2                  
                        1 + tan (a)

\frac{1 - \tan^{2}{\left(a \right)}}{\tan^{2}{\left(a \right)} + 1} + \tan{\left(x \right)} - \frac{\frac{2 \tan{\left(\frac{3 a}{2} \right)}}{\tan^{2}{\left(\frac{3 a}{2} \right)} + 1} + \frac{2 \tan{\left(\frac{a}{2} \right)}}{\tan^{2}{\left(\frac{a}{2} \right)} + 1}}{2 + \frac{2 \tan{\left(a \right)}}{\tan^{2}{\left(a \right)} + 1}}

                                           /        2/a\\                        
                 2                       2*|-1 + cot |-||*cot(a)                 
  1      -1 + cot (a)                      \         \2//                        
------ + ------------ - ---------------------------------------------------------
cot(x)          2                                   /      /        2/a\\    /a\\
         1 + cot (a)                                |    2*|-1 + cot |-||*cot|-||
                        /       2   \ /       2/a\\ |      \         \2//    \2/|
                        \1 + cot (a)/*|1 + cot |-||*|1 + -----------------------|
                                      \        \2// |                      2    |
                                                    |         /       2/a\\     |
                                                    |         |1 + cot |-||     |
                                                    \         \        \2//     /

\frac{\cot^{2}{\left(a \right)} - 1}{\cot^{2}{\left(a \right)} + 1} + \frac{1}{\cot{\left(x \right)}} - \frac{2 \left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right) \cot{\left(a \right)}}{\left(\frac{2 \left(\cot^{2}{\left(\frac{a}{2} \right)} - 1\right) \cot{\left(\frac{a}{2} \right)}}{\left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2}} + 1\right) \left(\cot^{2}{\left(\frac{a}{2} \right)} + 1\right) \left(\cot^{2}{\left(a \right)} + 1\right)}

  sin(a) + sin(3*a)                    
- ----------------- + cos(2*a) + tan(x)
     2 + sin(2*a)

- \frac{\sin{\left(a \right)} + \sin{\left(3 a \right)}}{\sin{\left(2 a \right)} + 2} + \cos{\left(2 a \right)} + \tan{\left(x \right)}

                                 /       2/a\\                                 
       2                       2*|1 - tan |-||*tan(a)                          
1 - tan (a)                      \        \2//                                 
----------- - -------------------------------------------------------- + tan(x)
       2                                  /      /       2/a\\    /a\\         
1 + tan (a)                               |    2*|1 - tan |-||*tan|-||         
              /       2   \ /       2/a\\ |      \        \2//    \2/|         
              \1 + tan (a)/*|1 + tan |-||*|1 + ----------------------|         
                            \        \2// |                     2    |         
                                          |        /       2/a\\     |         
                                          |        |1 + tan |-||     |         
                                          \        \        \2//     /

- \frac{2 \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right) \tan{\left(a \right)}}{\left(\frac{2 \left(1 - \tan^{2}{\left(\frac{a}{2} \right)}\right) \tan{\left(\frac{a}{2} \right)}}{\left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right)^{2}} + 1\right) \left(\tan^{2}{\left(\frac{a}{2} \right)} + 1\right) \left(\tan^{2}{\left(a \right)} + 1\right)} + \frac{1 - \tan^{2}{\left(a \right)}}{\tan^{2}{\left(a \right)} + 1} + \tan{\left(x \right)}

     2                                  
2*sin (x)    cos(a)*sin(2*a)            
--------- - ----------------- + cos(2*a)
 sin(2*x)   1 + cos(a)*sin(a)

\frac{2 \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}} + \cos{\left(2 a \right)} - \frac{\sin{\left(2 a \right)} \cos{\left(a \right)}}{\sin{\left(a \right)} \cos{\left(a \right)} + 1}

sin(x)    cos(a)*sin(2*a)            
------ - ----------------- + cos(2*a)
cos(x)   1 + cos(a)*sin(a)

\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}} + \cos{\left(2 a \right)} - \frac{\sin{\left(2 a \right)} \cos{\left(a \right)}}{\sin{\left(a \right)} \cos{\left(a \right)} + 1}

   /    pi\      /    pi\      /      pi\           
cos|x - --|   cos|a - --| + cos|3*a - --|           
   \    2 /      \    2 /      \      2 /           
----------- - --------------------------- + cos(2*a)
   cos(x)                 /      pi\                
                   2 + cos|2*a - --|                
                          \      2 /

- \frac{\cos{\left(a - \frac{\pi}{2} \right)} + \cos{\left(3 a - \frac{\pi}{2} \right)}}{\cos{\left(2 a - \frac{\pi}{2} \right)} + 2} + \cos{\left(2 a \right)} + \frac{\cos{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(x \right)}}

                         /    pi\                 
     2       sin(2*a)*sin|a + --|                 
2*sin (x)                \    2 /       /pi      \
--------- - ---------------------- + sin|-- + 2*a|
 sin(2*x)                 /    pi\      \2       /
            1 + sin(a)*sin|a + --|                
                          \    2 /

\frac{2 \sin^{2}{\left(x \right)}}{\sin{\left(2 x \right)}} + \sin{\left(2 a + \frac{\pi}{2} \right)} - \frac{\sin{\left(2 a \right)} \sin{\left(a + \frac{\pi}{2} \right)}}{\sin{\left(a \right)} \sin{\left(a + \frac{\pi}{2} \right)} + 1}

   /    pi\              /      pi\            
cos|x - --|    cos(a)*cos|2*a - --|            
   \    2 /              \      2 /            
----------- - ---------------------- + cos(2*a)
   cos(x)                   /    pi\           
              1 + cos(a)*cos|a - --|           
                            \    2 /

\cos{\left(2 a \right)} + \frac{\cos{\left(x - \frac{\pi}{2} \right)}}{\cos{\left(x \right)}} - \frac{\cos{\left(a \right)} \cos{\left(2 a - \frac{\pi}{2} \right)}}{\cos{\left(a \right)} \cos{\left(a - \frac{\pi}{2} \right)} + 1}

                               /a\           /3*a\ 
                          2*cot|-|      2*cot|---| 
                               \2/           \ 2 / 
                        ----------- + -------------
                               2/a\          2/3*a\
                 2      1 + cot |-|   1 + cot |---|
  1      -1 + cot (a)           \2/           \ 2 /
------ + ------------ - ---------------------------
cot(x)          2                   2*cot(a)       
         1 + cot (a)          2 + -----------      
                                         2         
                                  1 + cot (a)

\frac{\cot^{2}{\left(a \right)} - 1}{\cot^{2}{\left(a \right)} + 1} + \frac{1}{\cot{\left(x \right)}} - \frac{\frac{2 \cot{\left(\frac{3 a}{2} \right)}}{\cot^{2}{\left(\frac{3 a}{2} \right)} + 1} + \frac{2 \cot{\left(\frac{a}{2} \right)}}{\cot^{2}{\left(\frac{a}{2} \right)} + 1}}{2 + \frac{2 \cot{\left(a \right)}}{\cot^{2}{\left(a \right)} + 1}}

   1       sec(x)                    1                 
-------- + ------ - -----------------------------------
sec(2*a)   csc(x)   /          1      \                
                    |1 + -------------|*csc(2*a)*sec(a)
                    \    csc(a)*sec(a)/

\frac{1}{\sec{\left(2 a \right)}} + \frac{\sec{\left(x \right)}}{\csc{\left(x \right)}} - \frac{1}{\left(1 + \frac{1}{\csc{\left(a \right)} \sec{\left(a \right)}}\right) \csc{\left(2 a \right)} \sec{\left(a \right)}}

   1          sec(x)                           1                      
-------- + ----------- - ---------------------------------------------
sec(2*a)      /    pi\   /            1         \           /      pi\
           sec|x - --|   |1 + ------------------|*sec(a)*sec|2*a - --|
              \    2 /   |              /    pi\|           \      2 /
                         |    sec(a)*sec|a - --||                     
                         \              \    2 //

\frac{\sec{\left(x \right)}}{\sec{\left(x - \frac{\pi}{2} \right)}} + \frac{1}{\sec{\left(2 a \right)}} - \frac{1}{\left(1 + \frac{1}{\sec{\left(a \right)} \sec{\left(a - \frac{\pi}{2} \right)}}\right) \sec{\left(a \right)} \sec{\left(2 a - \frac{\pi}{2} \right)}}

                   /pi    \     1         1    
                csc|-- - x|   ------ + --------
      1            \2     /   csc(a)   csc(3*a)
------------- + ----------- - -----------------
   /pi      \      csc(x)               1      
csc|-- - 2*a|                    2 + --------  
   \2       /                        csc(2*a)

\frac{1}{\csc{\left(- 2 a + \frac{\pi}{2} \right)}} + \frac{\csc{\left(- x + \frac{\pi}{2} \right)}}{\csc{\left(x \right)}} - \frac{\frac{1}{\csc{\left(3 a \right)}} + \frac{1}{\csc{\left(a \right)}}}{2 + \frac{1}{\csc{\left(2 a \right)}}}

1/csc(pi/2 - 2*a) + csc(pi/2 - x)/csc(x) - (1/csc(a) + 1/csc(3*a))/(2 + 1/csc(2*a))

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

¿Cómo vas a descomponer esta tg+cos2a-sin2a/(1+sina*cosa)*cosa expresión en fracciones?

Solución

¿Cómo vas a descomponer esta tg+cos2a-sin2a/(1+sinacosa)cosa expresión en fracciones?